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38062128 = 24313181337
BaseRepresentation
bin1001000100110…
…0100000110000
32122121202102110
42101030200300
534220442003
63435445320
7641344206
oct221144060
978552373
1038062128
111a537705
12108b6840
137b68790
1450ab076
15351ca03
hex244c830

38062128 has 80 divisors (see below), whose sum is σ = 106791776. Its totient is φ = 11612160.

The previous prime is 38062103. The next prime is 38062169. The reversal of 38062128 is 82126083.

It is a junction number, because it is equal to n+sod(n) for n = 38062095 and 38062104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112776 + ... + 113112.

Almost surely, 238062128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38062128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53395888).

38062128 is an abundant number, since it is smaller than the sum of its proper divisors (68729648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38062128 is a wasteful number, since it uses less digits than its factorization.

38062128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38062128 is about 6169.4511911514. The cubic root of 38062128 is about 336.3806626793.

The spelling of 38062128 in words is "thirty-eight million, sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 181 208 312 337 362 543 624 674 724 1011 1086 1348 1448 2022 2172 2353 2696 2896 4044 4344 4381 4706 5392 7059 8088 8688 8762 9412 13143 14118 16176 17524 18824 26286 28236 35048 37648 52572 56472 60997 70096 105144 112944 121994 182991 210288 243988 365982 487976 731964 792961 975952 1463928 1585922 2378883 2927856 3171844 4757766 6343688 9515532 12687376 19031064 38062128